关键词: 边缘检测, 分数阶微分, Sobel算子, 纹理细节

Abstract: The present edge detection algorithms are sensitive to noise, they may not get ideal effect on image edge detection and result in unclear image edges. To overcome these shortages, a new edge detection model is proposed, which is based on the theory of fractional differential and combines with the image edge detection method of Sobel operator. Both theoretical researches and simulation results show that compared with existing methods, the new model is able to extract the characteristics of image edge better, and has better inhibitory effect on image noise. Especially, for images with more texture details, it is better than existing integer order differential methods since it can detect more texture information. Therefore, it is an effective edge detection method.

Key words: edge detection, fractional differential, Sobel operator, texture details